2. Activities

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UNIT 17 Arithmetic: Decimals, ActivitiesFractions and Percentages

Activities

17.1 Percentages of Quantities

17.2 Currency Exchange

17.3 VAT Problems

17.4 Card Games with Decimals, Fractions and Percentages

Card Templates (6 pages)

Notes and Solutions (2 pages)

MEP: Demonstration Project Y7B, Unit 17

© The Gatsby Charitable Foundation





ACTIVITY 17.1 Percentages of Quantities

L o o

k a t

t h e

d i a g r a m

b e l o w .

S T A R

T f r o m

t h e

t o p

l e f t b o x a n

d e n

t e r t h e n e x

t b o x w

h i c h d i s p l a y s a c o r r e c t s t a t e m e n

t . C a r r y o

n i n

t h e s a m e m a n n e r u n

t i l y o u

E X I T .

7 5 %

o

f 3 0 0

= 2 0 0

7 5 %

o

f 4 0 0

= 3 0 0

1 %

o

f 8 0 0

= 8 0

1 5 %

o

f 2 0 0

= 3 0

2 5 %

o

f 5 0 0

= 1 0 0

E X I T

S T A R T

5 0 %

o

f 9 6

= 4 5

1 0 %

o

f 9 0 0

= 9 0

5 0 %

o

f 8 6

= 4 3

2 0 %

o

f 4 0 0

= 8 0

1 %

o

f 3 0 0

= 3 0

5 0 %

o

f 1 0 0

= 5

1 0 %

o

f 4 0 0

= 1 0 0

2 0 0 %

o

f 9 0

= 1 8 0

2 0 %

o

f 4 5

= 9

2 5 %

o

f 8 0

= 2 0

5 %

o

f 6 0 0

= 1 0 0

2 5 %

o

f 2 0 0

= 1 0 0

5 0 %

o

f 4 0 0

= 2 0 0

=

7 2

1 0 0 %

o f 7 2





ACTIVITY 17.2 Currency Exchange

THE £ ABROAD

Australia A $ 2.03Canada C $ 2.20Denmark D Kr 10.41France F Fr 9.20Germany DM 2.73Hong Kong HK $ 12.40Ireland IR£ 1.03Italy L 2712.00Japan Y 194.91

Spain Pes 231.40Switzerland S Fr 2.36U.S. $ 1.60

m e p m e p

m e pm e p

Commissioncharge

MEP BANK

BUY SELL

£1 2.90 DM 2.73 DM

3% 2%

The chart shows the exchange rate betweenthe pound and various foreign currencies onMonday 10 March 1997.

1. How many

(a) $ can you obtain for £10,

(b) DM can you obtain for £5,

(c) A$ can you obtain for £20,

(d) L can you obtain for £2.50?

You can also use the table for converting foreigncurrency to pounds.

2. How many pounds can you obtain fo r

(a) 24 F Fr (b) 47 DM

(c) 101000 L (d) 100 $

(e) 4000Y?

In practice, most currency exchanges charge commission, either a percentage or a fixedamount.

3 . Find how much you can obtain for £200 in

(a) $ with a commission charge of 2%,

(b) DM wi th a commiss ion charge of 1.5%,

(c) F Fr with a f ixed commiss ion charge of £2.50 .

Banks have different rates for buying and selling foreign currency, as well as commissioncharges.

4 . How many DM do you get fo r £1000at the MEP Bank ? (Use selling rates.)

5 . After changing your £1000 in to DM,you find that your trip is cancelled.

(a ) How many pounds do you ge tback, using the buying andcommission rates shownopposite?

(b) How much money have you lost?

6 . Suppose you change £1000 to U.S.$ at the SELL rate above in 'The £ Abroad' table,

with 2% commission charge.To what level does the BUY rate of the pound have to fall in order to break even whenyou change back to pounds? (Assume a 3% commission charge.)





ACTIVITY 17.4 Card Games with Decimals,Fractions and Percentages



The templates that follow consist of

• decimal cards 0.65 to 1.0 in steps of 0.5

• fraction cards 0.05 to 1 in steps of1

20

• percentage cards 5% to 100% in s teps of 5%

• blank cards for other numbers.

The cards can be used for a variety of games, both as whole class activities and for bothpaired or individual tasks. Some suggestions are given below:

(A) Conversions

Here the teacher shows, at speed, one card (say, fractions ), and asks pupils for theconversion (to decimal or percen tage ). (A good competition between pairs or rows, etc. of pupils.)

An exercise best done at pace, involving at s ome stage all the pupils.

(B) SequencesPut cards on the board (using Blu-Tack), e.g.

Deal out all the other cards to the class.

Taking turns around the class, pupils place a cardin order on the board: they must forego their turn if they cannot place a card in sequence. After 4 turnsthe board might look like this:

(C) Ordering

Give out 6 cards at random to each pupil (you wil l need more copies of each sheet) and ask them to order them – quickest wins. (You could play this as a knockout competition, withan overall winner or winning team.)

0.5

50%

1

2

1

2

0.60.5

50%

0.55

45%

11

20





ACTIVITIES Unit 17 Decimal Cards 1

0 . 0

5

0 . 1

0 . 1 5

0 . 2

0 . 2 5

0 . 3

0 . 3 5

0 . 4 5

0 . 5

0 . 4





ACTIVITIES Unit 17 Decimal Cards 2

0 . 8

0 . 8 5

0 . 9

0 . 9 5

0 . 5

5

0 . 6

0 . 6 5

0 . 7

0 . 7 5

1 . 0







ACTIVITIES Unit 17 Fraction Cards 2

1 1 2 0

3 5

1 3 2 0

4 5

3 4 1

1 0 7

1 7

2 0

9 1 0

1 9 2 0





ACTIVITIES Unit 17 Percentage Cards 1

2 0 %

1 5 %

5 %

1 0

%

2 5 %

3 0 %

4 5 %

5 0 %

4 0 %

3 5

%





5 5 %

6 0 %

6 5 %

7 0 %

7 5 %

8 0 %

1 0 0 %

9 0 %

9 5 %

8 5 %

ACTIVITIES Unit 17 Percentage Cards 2





ACTIVITIES Unit 17 Blank Cards





ACTIVITIES 17.2 and 17.3 Notes for Solutions

Notes and solutions given only where appropriate.

17.2 1. (a) 16 $ (b) 13.65 DM (c) 40.6 A$ (d) 6780 L

2. (a) £2.61 (b) £17.22 (c) £37.24 (d) £62.50 (e) £20.52

3. (a) 313.6 $ (b) 537.81 DM (c) 1817 F Fr

4. 2675.4 DM

5. (a) £894.88 (b) £105.12

6. 1.52

17.3 1. (a) £21 (b) £14 (c) £87.50

2. (a) £17.50 (b) £70

3. (a) £0.1489 or 14.89p (to 2 d.p.) (b) £0.1489 x or 14.89 x p (to 2 d.p.)

4. (b) 6.7143

5. (a) 6.2632 (b) (i) £19 (ii) £7.98 (iii) £12.77

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2. Activities